They've been doing it for a while. Gemini has also discovered new math and new algorithms.
There is an entire research field of scientific discovery using LLMs together with sub-disciplines for the various specialization. LLMs routinely discover new things.
I hadn't heard of that, so I did some searching and the single source for the claim I can find is a Google white paper. That doesn't automatically mean it's false, of course, but it is curious that the only people ostensibly showing LLMs discover new things are the companies offering the LLMs.
Citation needed, and I call bullshit. Unless you mean that they hallucinate useless algorithms that do not work, which they do.
LLMs do not have an internal model for manipulating mathematical objects. They cannot, by design, come up with new algorithms unless they are very nearly the same as some other algorithm. I'm a computer science researcher and have not heard of a single algorithm created by LLM.
There is an entire research field of scientific discovery using LLMs together with sub-disciplines for the various specialization. LLMs routinely discover new things.